# Exam-Style Question on Statistics

## A mathematics exam-style question with a worked solution that can be revealed gradually

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Question id: 625. This question is similar to one that appeared on an IB AA Standard paper in 2022. The use of a calculator is not allowed.

Data is collected about size in square metres of apartments in a city and the monthly cost of renting them. The size of the apartments is shown in this box and whisker diagram.

(a) Find the largest apartment area that would not be considered an outlier.

The areas in square metres and costs in pounds, denoted by a and c respectively, are plotted as a scatter graph.

The regression line of c on a is $$c = 5a + 130$$. The regression line of a on c is $$a=\dfrac{c}{8}+10$$.

(b) One of the apartments in the data set costs £680 per month to rent. Estimate the area of that apartment.

(c) Find the mean monthly rental cost of all the apartments in the data set.

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